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Finding the Third Proportional to 82,860 and 129,619.50

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Solution

The third proportional to 82,860 and 129,619.50 is: 202,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,860 : 129,619.50 = 129,619.50 : x
  2. Step 2: Convert to fraction form
    82,860/129,619.50 = 129,619.50/x
  3. Step 3: Cross multiply
    82,860x = 129,619.50 × 129,619.50
  4. Step 4: Simplify right side
    82,860x = 16,801,214,780.25
  5. Step 5: Solve for x
    x = 16,801,214,780.25/82,860
  6. Step 6: Final answer
    x = 202,766.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.